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Finding the Fourth Proportional to 9,794,644.40, 14,691,966.60 and 6,808,660.40

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Solution

The fourth proportional to 9,794,644.40, 14,691,966.60 and 6,808,660.40 is: 10,212,990.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794,644.40 : 14,691,966.60 = 6,808,660.40 : x
  2. Step 2: Convert to fraction form
    9,794,644.40/14,691,966.60 = 6,808,660.40/x
  3. Step 3: Cross multiply
    9,794,644.40x = 14,691,966.60 × 6,808,660.40
  4. Step 4: Simplify right side
    9,794,644.40x = 100,032,611,187,542.64
  5. Step 5: Solve for x
    x = 100,032,611,187,542.64/9,794,644.40
  6. Step 6: Final answer
    x = 10,212,990.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.